Question

Cone A is similar to Cone B with a scale factor of 3:5. If the surface area of Cone B is 725 ft, find the surface area of Cone A.Surface Area of Cone A=ft?

Answer 1

The scale factor relating cone A to cone B is 3:5. Expressing it as a ratio, it is 3/5

If two solids are similar with a scale factor of a/b, then the surface areas are in the ratio of (a/b)^2. For this scenario, the scale factor for the surface areas of the cones is (3/5)^2 = 9/25

Thus, we have

9/25 = surface area of cone A/surface area of cone B

9/25 = surface area of cone A/725

surface area of cone A = (9 x 725)/25

surface area of cone A = 261 ft^2